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Finding the Fourth Proportional to 36,681, 50,619.84 and 19,914

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Solution

The fourth proportional to 36,681, 50,619.84 and 19,914 is: 27,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,681 : 50,619.84 = 19,914 : x
  2. Step 2: Convert to fraction form
    36,681/50,619.84 = 19,914/x
  3. Step 3: Cross multiply
    36,681x = 50,619.84 × 19,914
  4. Step 4: Simplify right side
    36,681x = 1,008,043,493.76
  5. Step 5: Solve for x
    x = 1,008,043,493.76/36,681
  6. Step 6: Final answer
    x = 27,481.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.